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Finding the Fourth Proportional to 601.72, 901.42 and 395.67

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Solution

The fourth proportional to 601.72, 901.42 and 395.67 is: 592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.72 : 901.42 = 395.67 : x
  2. Step 2: Convert to fraction form
    601.72/901.42 = 395.67/x
  3. Step 3: Cross multiply
    601.72x = 901.42 × 395.67
  4. Step 4: Simplify right side
    601.72x = 356,658.37
  5. Step 5: Solve for x
    x = 356,658.37/601.72
  6. Step 6: Final answer
    x = 592.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.